The Frenchman is a known target of Newcastle United after boss Alan Pardew admitted that he was interested, but Beard has stated that he will remain an R's player until a deal that suits the club is made.
He told Fulham Chronicle: "It's realistic that everybody with a contract will stay. If clubs come in and it's the right deal for QPR and the player, we'll talk about them going somewhere else.
"Loic Remy is like everyone with a contract. He's a great character, and if we have him playing for us in the Championship he'll score you a lot of goals, but if something happens we'll look at it."
Remy joined Rangers in January and scored six goals in the Premier League.